Fairing of discrete planar curves to integrable discrete analogue of Euler’s elasticae
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- Graiff Zurita, Sebastián Elías
- Institute of Mathematics for Industry, Kyushu University
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- Kajiwara, Kenji
- Institute of Mathematics for Industry, Kyushu University
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- Suzuki, Toshitomo
- Department of Architecture, Mukogawa Woman’s University
Description
We construct a method for fairing a given discrete planar curve by using the integrable discrete analog of Euler’s elastica, which is a discrete version of the approximation algorithm presented by Brander et al. We first give a brief review of the integrable discrete analog of Euler’s elastica proposed by Bobenko and Suris, then we present a detailed account of the fairing algorithm, and we apply this method to an architectural problem of characterizing the keylines of Japanese handmade pantiles.
Journal
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- International Journal of Mathematics for Industry
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International Journal of Mathematics for Industry 14 (01), 2250007-1-2250007-20, 2023-03-07
World Scientific Publishing
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Details 詳細情報について
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- CRID
- 1050018816303633920
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- ISSN
- 26613344
- 26613352
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- HANDLE
- 2324/7178645
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB